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Finding the Fourth Proportional to 71,152.40, 106,740.12 and 21,892.88

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Solution

The fourth proportional to 71,152.40, 106,740.12 and 21,892.88 is: 32,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.40 : 106,740.12 = 21,892.88 : x
  2. Step 2: Convert to fraction form
    71,152.40/106,740.12 = 21,892.88/x
  3. Step 3: Cross multiply
    71,152.40x = 106,740.12 × 21,892.88
  4. Step 4: Simplify right side
    71,152.40x = 2,336,847,995.18
  5. Step 5: Solve for x
    x = 2,336,847,995.18/71,152.40
  6. Step 6: Final answer
    x = 32,842.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.